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Finding the Fourth Proportional to 138,945.30, 208,416.12 and 33,763.97

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Solution

The fourth proportional to 138,945.30, 208,416.12 and 33,763.97 is: 50,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,945.30 : 208,416.12 = 33,763.97 : x
  2. Step 2: Convert to fraction form
    138,945.30/208,416.12 = 33,763.97/x
  3. Step 3: Cross multiply
    138,945.30x = 208,416.12 × 33,763.97
  4. Step 4: Simplify right side
    138,945.30x = 7,036,954,581.12
  5. Step 5: Solve for x
    x = 7,036,954,581.12/138,945.30
  6. Step 6: Final answer
    x = 50,645.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.